On consistency of kernel density estimators for randomly censored data : rates holding uniformly over adaptive intervals
Evarist Giné, Armelle Guillou (2001)
Annales de l'I.H.P. Probabilités et statistiques
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Displaying similar documents to “Rates of strong uniform consistency for multivariate kernel density estimators”
On consistency of kernel density estimators for randomly censored data : rates holding uniformly over adaptive intervals
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Annales de l'I.H.P. Probabilités et statistiques
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Gert Almkvist (1992)
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Mean square of the remainder term in the Dirichlet divisor problem
Yuk-Kam Lau, Kai-Man Tsang (1995)
Journal de théorie des nombres de Bordeaux
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Tusnady's lemma, 24 years later
Pascal Massart (2002)
Annales de l'I.H.P. Probabilités et statistiques
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Adaptive Dantzig density estimation
K. Bertin, E. Le Pennec, V. Rivoirard (2011)
Annales de l'I.H.P. Probabilités et statistiques
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The aim of this paper is to build an estimate of an unknown density as a linear combination of functions of a dictionary. Inspired by Candès and Tao’s approach, we propose a minimization of the 1-norm of the coefficients in the linear combination under an adaptive Dantzig constraint coming from sharp concentration inequalities. This allows to consider a wide class of dictionaries. Under local or global structure assumptions, oracle inequalities are derived. These theoretical results...